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Finding the Fourth Proportional to 9,266.02, 12,782.34 and 6,280.84

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Solution

The fourth proportional to 9,266.02, 12,782.34 and 6,280.84 is: 8,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.02 : 12,782.34 = 6,280.84 : x
  2. Step 2: Convert to fraction form
    9,266.02/12,782.34 = 6,280.84/x
  3. Step 3: Cross multiply
    9,266.02x = 12,782.34 × 6,280.84
  4. Step 4: Simplify right side
    9,266.02x = 80,283,832.37
  5. Step 5: Solve for x
    x = 80,283,832.37/9,266.02
  6. Step 6: Final answer
    x = 8,664.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.